Solving Hyperchaotic Systems Using the Spectral Relaxation Method

Table 5

Comparison of the numerical solution of Rabinovich-Fabrikant equations obtained by the MSRM and ode45 for 𝑎=0.1 and 𝑏=0.98.

𝑡	𝑥1(𝑡)		𝑥2(𝑡)		𝑥3(𝑡)
	MSRM	ode45	MSRM	ode45	MSRM	ode45
10	−0.193770	−0.193770	5.046955	5.046956	0.964453	0.964454
20	0.030179	0.030178	−1.020136	−1.020136	0.000192	0.000192
30	0.878727	0.878727	−1.845389	−1.845389	0.399523	0.399523
40	−1.029824	−1.029824	1.771524	1.771524	0.000093	0.000093
50	1.037551	1.037551	−0.878634	−0.878634	0.000091	0.000091
60	1.034005	1.034005	0.277127	0.277127	0.002862	0.002862
70	0.798540	0.798540	−0.876128	−0.876127	0.457949	0.457949
80	1.026191	1.026191	−1.979857	−1.979857	0.000876	0.000876
CPU time	0.286794	0.501966